Abstract
We define the notion of an approximate triangulation for a manifold M embedded in Euclidean space. The basic idea is to build a nested family of simplicial complexes whose vertices lie in M and use persistent homology to find a complex in the family whose homology agrees with that of M. Our key examples are various Grassmann manifolds G k ( R n ) .
Subject
Computational Mathematics,Computational Theory and Mathematics,Numerical Analysis,Theoretical Computer Science
Reference17 articles.
1. On C 1 -Complexes
2. Estimate of number of simplices of triangulations of Lie groups;Duan;arXiv,2020
3. How many simplices are needed to triangulate a Grassmannian?;Govc;arXiv,2020
4. Characteristic Classes;Milnor,1974
5. There Is No Tame Triangulation of the Infinite Real Grassmannian
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